Question

The length of a rectangle is 4x meters and its width is 5x meters determine the value of x and the width if the perimeter of the rectangle is 54 meters.
x=
width=

Answer 1

Answer:

x = 3

width = 15

Step-by-step explanation:

perimeter of a rectangle = 2 * width + 2 * length

54 = 2 * width + 2 * length = 2 * (4x) + 2*(5x) = 8x + 10x + 18x

54 = 18x

divide both sides by 18 to isolate x

x = 3

width = 5x = 5 * 3 = 15